Li-Cheng Tsai

Junior Fellow of the Simons Society of Fellows

Department of Mathematics at Columbia University
2990 Broadway, New York, NY 10027, USA

Email: lctsai.math@gmail.com

Picture of Li-Cheng Tsai

My curriculum vitae.

I am a Junior Fellow of the Simons Society of Fellows, working with Ivan Corwin in the Department of Mathematics at Columbia University in the City of New York.

I am co-organizing the Columbia Probability Seminar. My research is supported by the National Science Foundation under Grant No. DMS-1712575.

I received my PhD in Mathematics at Stanford University in 2016, with my PhD advisor Amir Dembo. I was a KITP Graduate Fellow in 2016.

My research interest is in probability theory, in particular the asymptotic fluctuation of interacting particle systems. Before joining Stanford, I worked on the kinetic theory of gas with Tai-Ping Liu.

Publications

See also Google Scholar.

  1. Stochastic PDE Limit of the Six Vertex Model [arXiv]
    with Ivan Corwin, Promit Ghosal, and Hao Shen. Submitted
  2. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal. Submitted
  3. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv]
    with Yu Gu. Submitted
  4. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv]
    with Stefano Olla.
  5. The Criticality of a Randomly-Driven Front [arXiv]
    with Amir Dembo. Submitted.
  6. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv]
    with Wenpin Tang. Ann. Prob. 46 (3) 1597-1650, 2018
  7. Stationary Distributions of the Atlas Model [arXiv]
    Electron. C. Probab. 23 (10), 2018
  8. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann. Prob. 45 (6B) 4529-4560, 2017
  9. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron. J. Probab. 22 (56), 2017
  10. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann. Prob. 45 (3) 1771-1798, 2017
  11. ASEP(q,j) converges to the KPZ equation [arXiv]
    with Ivan Corwin and Hao Shen. To appear in Ann. Inst. Henri Poincaré (B) Probab. Stat.
  12. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR]
    Probab. Theory Related Fields. 166 (3) 801-850, 2016
  13. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm. Math. Phys. 341 (1), 219-261, 2016
  14. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328 (2), 421-480, 2014
  15. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318 (2), 375-409, 2013
  16. Viscous shock propagation with boundary effect [MR]
    Bull. Inst. Math. Acad. Sin. (N.S.) 6, 1-26, 2011

Teaching

  • Fall 2017, MATH 1102: Calculus II